Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15183 and 15187 the smallest integer that is 230584221 that is divisible by both numbers.
Least Common Multiple (LCM) of 15183 and 15187 is 230584221.
LCM(15183,15187) = 230584221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 15183 and 15187. First we will calculate the prime factors of 15183 and 15187.
Prime Factorization of 15183
3 | 15183 |
3 | 5061 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 15183 are 3, 7,241. Prime factorization of 15183 in exponential form is:
15183 = 32×71×2411
Prime Factorization of 15187
15187 | 15187 |
1 |
Prime factors of 15187 are 15187. Prime factorization of 15187 in exponential form is:
15187 = 151871
Now multiplying the highest exponent prime factors to calculate the LCM of 15183 and 15187.
LCM(15183,15187) = 32×71×2411×151871
LCM(15183,15187) = 230584221
Factors of 15183
List of positive integer factors of 15183 that divides 15183 without a remainder.
1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183
Factors of 15187
List of positive integer factors of 15187 that divides 15187 without a remainder.
1, 15187
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15183 and 15187, than apply into the LCM equation.
GCF(15183,15187) = 1
LCM(15183,15187) = ( 15183 × 15187) / 1
LCM(15183,15187) = 230584221 / 1
LCM(15183,15187) = 230584221
(i) The LCM of 15187 and 15183 is associative
LCM of 15183 and 15187 = LCM of 15187 and 15183
1. What is the LCM of 15183 and 15187?
Answer: LCM of 15183 and 15187 is 230584221.
2. What are the Factors of 15183?
Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.
3. What are the Factors of 15187?
Answer: Factors of 15187 are 1, 15187. There are 2 integers that are factors of 15187. The greatest factor of 15187 is 15187.
4. How to Find the LCM of 15183 and 15187?
Answer:
Least Common Multiple of 15183 and 15187 = 230584221
Step 1: Find the prime factorization of 15183
15183 = 3 x 3 x 7 x 241
Step 2: Find the prime factorization of 15187
15187 = 15187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230584221 = 3 x 3 x 7 x 241 x 15187
Step 4: Therefore, the least common multiple of 15183 and 15187 is 230584221.